2449891604160 has 4480 divisors, whose sum is σ = 12491084390400. Its totient is φ = 448693862400.

The previous prime is 2449891604143. The next prime is 2449891604189. The reversal of 2449891604160 is 614061989442.

2449891604160 is a `hidden beast` number, since 2 + 4 + 498 + 91 + 6 + 0 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2449891604097 and 2449891604106.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 52125353257 + ... + 52125353303.

It is an arithmetic number, because the mean of its divisors is an integer number (2788188480).

Almost surely, 2^{2449891604160} is an apocalyptic number.

2449891604160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2449891604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245542195200).

2449891604160 is an abundant number, since it is smaller than the sum of its proper divisors (10041192786240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2449891604160 is a wasteful number, since it uses less digits than its factorization.

2449891604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2449891604160 in words is "two trillion, four hundred forty-nine billion, eight hundred ninety-one million, six hundred four thousand, one hundred sixty".